x^2+10x=375

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Solution for x^2+10x=375 equation:


Simplifying
x2 + 10x = 375

Reorder the terms:
10x + x2 = 375

Solving
10x + x2 = 375

Solving for variable 'x'.

Reorder the terms:
-375 + 10x + x2 = 375 + -375

Combine like terms: 375 + -375 = 0
-375 + 10x + x2 = 0

Factor a trinomial.
(-25 + -1x)(15 + -1x) = 0

Subproblem 1

Set the factor '(-25 + -1x)' equal to zero and attempt to solve: Simplifying -25 + -1x = 0 Solving -25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 0 + 25 -1x = 0 + 25 Combine like terms: 0 + 25 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-25, 15}

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